Part aThe sample size is large enough to use the central limit theorem because it is greater than 30.
Part b.The mean of the sampling distribution is 62000.
The standard error is computed as
Part c.Compute for the corresponding z-score of more than 2700 from the population mean.
Therefore,
Answer:
-2.33
Step-by-step explanation:
Let the number be denoted as "x"
-45x + 12 = 117
-45x = 117-12
-45x = 105
x = 105/-45
x= -2.33
Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
Surface area of the base = 4^2 = 16 units^2.
Area of each triangular side = 1/2 * 4 * 3 = 6 unts^2
Total surface area of the pyramid = 16 + 4 * 6 = 40 unit^2 (answer)
The charge should be $6. I believe I set this up correctly; let me know if there are any errors. Hope this is helpful & accurate.
